LEADER 03862nam 22007935 450 001 9910564680703321 005 20251113185944.0 010 $a9783030930158 010 $a3030930157 024 7 $a10.1007/978-3-030-93015-8 035 $a(CKB)5700000000081229 035 $aEBL6961667 035 $a(AU-PeEL)EBL6961667 035 $a(MiAaPQ)EBC6961667 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/81671 035 $a(PPN)262167697 035 $a(ODN)ODN0010067678 035 $a(Au-PeEL)EBL6961667 035 $a(OCoLC)1314612744 035 $a(oapen)doab81671 035 $a(DE-He213)978-3-030-93015-8 035 $a(EXLCZ)995700000000081229 100 $a20220423d2022 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aControl Problems for Conservation Laws with Traffic Applications $eModeling, Analysis, and Numerical Methods /$fby Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (xvii, 227 pages) $cillustrations (some colour) 225 1 $aPNLDE Subseries in Control,$x2731-7374 ;$v99 300 $aDescription based upon print version of record. 311 08$a9783030930141 311 08$a3030930149 327 $aIntroduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks. 330 $aConservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered. An appendix reviewing the general theory of initial-boundary value problems for balance laws is included, as well as an appendix illustrating the main concepts in the theory of conservation laws on networks. . 410 0$aPNLDE Subseries in Control,$x2731-7374 ;$v99 606 $aDifferential equations 606 $aSystem theory 606 $aControl theory 606 $aOperations research 606 $aManagement science 606 $aDifferential Equations 606 $aSystems Theory, Control 606 $aOperations Research, Management Science 615 0$aDifferential equations. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aOperations research. 615 0$aManagement science. 615 14$aDifferential Equations. 615 24$aSystems Theory, Control. 615 24$aOperations Research, Management Science. 676 $a515.35 686 $aBUS049000$aMAT034000$aSCI064000$2bisacsh 700 $aBayen$b Alexandre M$01257777 701 $aDelle Monache$b Maria Laura$01235574 701 $aGaravello$b Mauro$0520337 701 $aGoatin$b Paola$01235575 701 $aPiccoli$b Benedetto$f1968-$0760536 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910564680703321 996 $aControl problems for conservation laws with traffic applications$92914668 997 $aUNINA